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University of Georgia

1. Zhang, Mucheng. Monte Carlo simulation of interacting electron models by a new determinant approach.

Degree: PhD, Computer Science, 2008, University of Georgia

URL: http://purl.galileo.usg.edu/uga_etd/zhang_mucheng_200808_phd

This work discusses the calculation of determinants and Monte Carlo simulation of Hubbard
models by a new determinant approach which is derived from a Feynman diagram
expansion for the single particle Green’s function of the Hubbard model. We developed a
determinant formalism for the extended Hubbard model and a Monte Carlo summation
algorithm to evaluate the relevant diagram determinant sums.
*Advisors/Committee Members: Heinz-Bernd Schuttler.*

Subjects/Keywords: Monte Carlo Simulation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Zhang, M. (2008). Monte Carlo simulation of interacting electron models by a new determinant approach. (Doctoral Dissertation). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/zhang_mucheng_200808_phd

Chicago Manual of Style (16^{th} Edition):

Zhang, Mucheng. “Monte Carlo simulation of interacting electron models by a new determinant approach.” 2008. Doctoral Dissertation, University of Georgia. Accessed February 17, 2019. http://purl.galileo.usg.edu/uga_etd/zhang_mucheng_200808_phd.

MLA Handbook (7^{th} Edition):

Zhang, Mucheng. “Monte Carlo simulation of interacting electron models by a new determinant approach.” 2008. Web. 17 Feb 2019.

Vancouver:

Zhang M. Monte Carlo simulation of interacting electron models by a new determinant approach. [Internet] [Doctoral dissertation]. University of Georgia; 2008. [cited 2019 Feb 17]. Available from: http://purl.galileo.usg.edu/uga_etd/zhang_mucheng_200808_phd.

Council of Science Editors:

Zhang M. Monte Carlo simulation of interacting electron models by a new determinant approach. [Doctoral Dissertation]. University of Georgia; 2008. Available from: http://purl.galileo.usg.edu/uga_etd/zhang_mucheng_200808_phd

University of Georgia

2. Qu, Shixian. Electron and phonon dynamics in nanostructures.

Degree: PhD, Physics, 2005, University of Georgia

URL: http://purl.galileo.usg.edu/uga_etd/qu_shixian_200505_phd

This thesis comprises three major parts relating to the electron and phonon dynamics in nanos-tructures. In the ¯rst part, a ¯nite temperature Green's function theory for spherically symmetric systems is advanced, in which a self-consistent dressed random phase approximation is proposed. The ¯nite element method is generalized to solve the Dyson equations for the Green's function and the screening potential. The linear response theory is then used to obtain the electron polarizability. By the Pad¶e approximant, the imaginary Matsubara frequency dependence is analytically continued to calculate the polarizability in the real frequency domain This approach has been applied to Gold and Sodium nanosphere systems. In the second part, a general theoretical technique is developed to describe wave propagation through a curved wire of uniform cross section and lying in a plane, but of otherwise arbitrary shape. The method consists of (i) introducing a local orthogonal coordinate system, the arclength and two locally perpendicular coordinate axes, dictated by the shape of the wire; (ii) rewriting the wave equation of interest in this system; (iii) identifying an e®ective scattering potential caused by the local curvature; and (iv), solving the associated Lippmann-Schwinger equation for the scattering matrix. We carry out this procedure in detail for the scalar Helmholtz equation with both hard-
wall and stress-free boundary conditions, appropriate for the mesoscopic transport of electrons and (scalar) phonons. The results show that, in contrast to charge transport, curvature only barely suppresses thermal transport, even for sharply bent wires, at least within the two-dimensional scalar phonon model considered. Applications to experiments are also discussed. In the third part, a general method is developed to calculate the net rate of thermal energy transfer between a three-dimensional conductor at temperature Tel and a low-dimensional phonon
system at temperature Tph. The main focus and principal result is a calculation of the rate of energy transfer between a clean metal ¯lm of thickness d attached to an insulating, nonpolar semi-in¯nite substrate. The conventional deformation-potential is employed to describe the electron-phonon 5 scattering. A low-temperature crossover from the familiar Ttemperature dependence to a strong 6 Tlog T scaling is predicted. Comparison with the existing experiments suggests a widespread breakdown of the standard model of electron-phonon thermalization in supported metallic thin ¯lms.
*Advisors/Committee Members: Heinz-Bernd Schuttler.*

Subjects/Keywords: metallic nanoparticles

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Qu, S. (2005). Electron and phonon dynamics in nanostructures. (Doctoral Dissertation). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/qu_shixian_200505_phd

Chicago Manual of Style (16^{th} Edition):

Qu, Shixian. “Electron and phonon dynamics in nanostructures.” 2005. Doctoral Dissertation, University of Georgia. Accessed February 17, 2019. http://purl.galileo.usg.edu/uga_etd/qu_shixian_200505_phd.

MLA Handbook (7^{th} Edition):

Qu, Shixian. “Electron and phonon dynamics in nanostructures.” 2005. Web. 17 Feb 2019.

Vancouver:

Qu S. Electron and phonon dynamics in nanostructures. [Internet] [Doctoral dissertation]. University of Georgia; 2005. [cited 2019 Feb 17]. Available from: http://purl.galileo.usg.edu/uga_etd/qu_shixian_200505_phd.

Council of Science Editors:

Qu S. Electron and phonon dynamics in nanostructures. [Doctoral Dissertation]. University of Georgia; 2005. Available from: http://purl.galileo.usg.edu/uga_etd/qu_shixian_200505_phd

University of Georgia

3. Zhou, Wenduo. Monte Carlo summation of higher order Feynman diagram expansions for strongly correlated electron models.

Degree: PhD, Physics, 2006, University of Georgia

URL: http://purl.galileo.usg.edu/uga_etd/zhou_wenduo_200608_phd

Subjects/Keywords: two dimensional Hubbard model

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Zhou, W. (2006). Monte Carlo summation of higher order Feynman diagram expansions for strongly correlated electron models. (Doctoral Dissertation). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/zhou_wenduo_200608_phd

Chicago Manual of Style (16^{th} Edition):

Zhou, Wenduo. “Monte Carlo summation of higher order Feynman diagram expansions for strongly correlated electron models.” 2006. Doctoral Dissertation, University of Georgia. Accessed February 17, 2019. http://purl.galileo.usg.edu/uga_etd/zhou_wenduo_200608_phd.

MLA Handbook (7^{th} Edition):

Zhou, Wenduo. “Monte Carlo summation of higher order Feynman diagram expansions for strongly correlated electron models.” 2006. Web. 17 Feb 2019.

Vancouver:

Zhou W. Monte Carlo summation of higher order Feynman diagram expansions for strongly correlated electron models. [Internet] [Doctoral dissertation]. University of Georgia; 2006. [cited 2019 Feb 17]. Available from: http://purl.galileo.usg.edu/uga_etd/zhou_wenduo_200608_phd.

Council of Science Editors:

Zhou W. Monte Carlo summation of higher order Feynman diagram expansions for strongly correlated electron models. [Doctoral Dissertation]. University of Georgia; 2006. Available from: http://purl.galileo.usg.edu/uga_etd/zhou_wenduo_200608_phd